The action principle of field theory, usually applied only to linear theories, such as electrodynamics, is shown to be useful in the nonlinear theory of magnetohydrodynamics The well-known conservation laws are derived by utilization of invariance properties of the appropirate lagrangian In addition, a set of new conservation
laws, corresponding to generalizations of the Helmholtz vortex theorem in hydrodynamics, are obtained by exploiting a certain type of gauge invariance of the magnetohydrodynamical action integral A number of formal simplifications are introduced which suggest themselves through the action principle
Three problems which illustrate the resulting formulation of magnetohydrodynamics are discussed / Science, Faculty of / Physics and Astronomy, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/38797 |
| Date | January 1961 |
| Creators | Calkin, , Melvin Gilbert |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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